On groups whose transitively normal subgroups are either normal or self-normalizing.

DOI10.1007/S10231-012-0251-4zbMath1307.20031OpenAlexW2084439650MaRDI QIDQ380400

Nikolaj N. jun. Semko, Nikolaj N. Semko

Publication date: 13 November 2013

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-012-0251-4

zbMATH Keywords

subnormal subgroupslocally nilpotent groupstransitive normalityChernikov groupsminimax groupshyperfinite groupshypofinite groupsminimal conditiontransitively normal subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25) FC-groups and their generalizations (20F24)

Related Items (1)

The influence of arrangement of subgroups on the group structure

Cites Work

• New characterizations of locally nilpotent \(\overline{IH}\)-groups
• Groups with subnormality for all subgroups that are not finitely generated
• Commutative affine rings
• Pseudonormal subgroups of groups.
• Schwachnormale Untergruppen: eine gemeinsame Verallgemeinerung der normalen und normalisatorgleichen Untergruppen
• Minimal non-cc-groups
• Engel Series Expansions of Laurent Series and Hausdorff Dimensions
• ON FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS
• On finite solvable groups in which normality is a transitive relation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On groups whose transitively normal subgroups are either normal or self-normalizing.